Analytic Geometry

Math 115, 2006–2007, Fall Semester

Course letter-grades

Textbook: Analytic Geometry, H. I. Karakaş, METU, 1994. (Note: The paragraph spanning pp. 42–43 needs to be corrected.)

Suggested problems from the Karakaş book:

• Section 4.1 # 1a, 1b, 1d, 4, 5
• Section 4.2 # 1, 3b, 3c, 3d, 6-1, 8, 9
• Section 4.4 # 2b, 2c, 3, 7-1, 7-2, 7-4, 11
• Section 4.5 # 2a, 2b, 2d, 5b, 5e, 6c, 6d, 7b,7d, 8-1,8-2
• Section 4.6 # 1a,1b, 2
• Section 4.7 # 1a, 1b, 6, 7a, 10a, 11a
• Section 8.1 # 1b, 1c, 1d, 1e, 1g, 3a, 3e, 3f, 3g, 3i
• Section 8.3 # 1a, 1b, 1c, 1d, 1e, 1f, 1g, 1h, 1i, 1j, 1k, 2, 6, 7,9, 15a, 15c
• Section 8.4 #1

References: Any Calculus and Analytic Geometry book.

Some notes:

• on defining angles in analytic geometry;
• on conic sections.

Tentative Course Outline:

Week	Topics	Sections
1	Fundamental Principle of Analytical Geometry. Cartesian coordinates in the plane	1.5, 2.1, 2.7
2	Lines in the plane	2.2, 2.3
3	Review of trigonometry	2.4
4	Polar coordinates	2.5
5	Rotation and translation in the plane. Directed segments and vectors	2.6, 3.1,5.1
6	Algebra of vectors, scalar product	3.2, 3.3, 5.2, 5.3
7	Cross product, lines in 2 and 3-space, distance	5.4, 3.4, 3.5, 5.5
8	Lines in 3-space (cont.), planes	5.5, 5.6
9	Planes(cont.)	5.7
10	Conic sections, parabola, ellipse	4.1, 4.2, 4.3, 4.4
11	Hyperbola	4.5, 4.6
12	General quadratic equations	4.7
13	Spheres, cylinders, surfaces of revolution	8.1, 8.2
14	Canonical equations of quadratic surfaces	8.3

Grading: There will be two midterm exams which will be of weight 30% each. The final exam will be of weight 40%. The letter grade will be assigned by the instructor according to the distribution of weighted total grades.

Results of the second midterm exam (xls file)

Dates of Exams:

• Midterm 1: November 16 (Thursday), covering weeks 1–6 above
• Midterm 2: December 14 (Thursday), covering weeks 7–9 above
• Final: covers all weeks listed above (see in particular the suggested problems near the top of this page)
• Make-up: January 24 (Wednesday), 14.00, in M-214.  postponed from Tuesday because of a conflict 

Section	Instructor	When	Where
1	Sergey Finashin	Monday 11:40–12:30	M102
		Wednesday 13:40–15:30
2	Turgut Önder	Monday 11:40–12:30	M103
		Wednesday 13:40–15:30
3	David Pierce	Monday 12:40–13:30	M102
		Wednesday 10:40–12:30